Final answer:
To find the solution for y in the equation -8/2y-8=5/y+4-7y+8/y^2-16, we need to simplify the equation and solve for y.
Step-by-step explanation:
To find the solution for y in the equation -8/2y-8=5/y+4-7y+8/y^2-16, we need to simplify the equation and solve for y.
First, let's combine like terms on the right side of the equation:
5/y + 4 - 7y + 8/y^2 - 16 = (5 + 4) - 7y + (8/y^2 - 16) = 9 - 7y + (8/y^2 - 16)
Next, let's manipulate the equation to isolate y:
-8/(2y - 8) = 9 - 7y + (8/y^2 - 16)
Now, let's find a common denominator for the fractions on the right side:
-8/(2y - 8) = (9 - 7y*(y^2 - 16))/(y^2 - 16)
Since the denominators are the same, we can equate the numerators:
-8 = 9 - 7y*(y^2 - 16)
Solving this equation will give us the solution for y.